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3 years ago

Use the distributive property to simplify the expression, 21m(10-6m)

Mathematics

1 answer:

photoshop1234 [79]3 years ago

4 0

$21m(10-6m)=\\ 21m*10-21m*6m=\\ 210m-126m^2=\\ -126m^2+210m$

The last two steps are just me reordering it so it's in standard form.

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Income in 4th year = $20,300

Let y be the income at x year.

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If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

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$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

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$30700=800x+17100$

Subtract 17100 from both sides.

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Divide both sides by 800.

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Therefore, in 17th year his income was $30,700.

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3 years ago